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 one year ago
I don't really get this.
Question: Use the rules for exponents and roots to prove that 512^2/3 = 16^3/2
 one year ago
I don't really get this. Question: Use the rules for exponents and roots to prove that 512^2/3 = 16^3/2

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mjr632
 one year ago
Best ResponseYou've already chosen the best response.0Do you mean a rigorous formal proof?

Rachel98
 one year ago
Best ResponseYou've already chosen the best response.0I don't really know. This is what the question was and I don't get it.

mjr632
 one year ago
Best ResponseYou've already chosen the best response.0Do you understand how to use logarithms?

mjr632
 one year ago
Best ResponseYou've already chosen the best response.0Ah, you will want to understand natural logarithms for this question, I can explain it.

mjr632
 one year ago
Best ResponseYou've already chosen the best response.0\[y = \log_b x\] \[x = b^y\]

mjr632
 one year ago
Best ResponseYou've already chosen the best response.0If we take the natural logarithm of \[512^{\frac{2}{3}}\] \[\frac{2}{3}\ln(512)\]

mjr632
 one year ago
Best ResponseYou've already chosen the best response.0We can pull the exponent out

Rachel98
 one year ago
Best ResponseYou've already chosen the best response.0So, is that a cube root? That we ended up with?

precal
 one year ago
Best ResponseYou've already chosen the best response.1yes they are both equivalent

Rachel98
 one year ago
Best ResponseYou've already chosen the best response.0Thanks, so much. That makes sense now.

precal
 one year ago
Best ResponseYou've already chosen the best response.1no need to use logs here

ghass1978
 one year ago
Best ResponseYou've already chosen the best response.1just using exponents :512=2^9 so 512^(2/3)=2^6 and 16^(3/2)=2^6 so both are equal
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